Hi,

8x^4-50= 2(4x^2 - 25) = 2(2x-5)(2x+5)

  

Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
 We factor out a 2. 



We divide 8x^4 - 50 by 2 one term at a time.



8x^4 divided by 2 = 4x^2



Then -50 divided by 2 = -25



2(4x^2 - 25) =



What lies in the parentheses is the difference of two perfect squares.



So, 4x^2 - 25 becomes (2x - 5)(2x + 5).



The final answer is three factors:



2(2x - 5)(2x + 5) 

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